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Simplifying 0.4x + (-1x + -1.8) = -2(0.5x + -0.3) Reorder the terms: 0.4x + (-1.8 + -1x) = -2(0.5x + -0.3) Remove parenthesis around (-1.8 + -1x) 0.4x + -1.8 + -1x = -2(0.5x + -0.3) Reorder the terms: -1.8 + 0.4x + -1x = -2(0.5x + -0.3) Combine like terms: 0.4x + -1x = -0.6x -1.8 + -0.6x = -2(0.5x + -0.3) Reorder the terms: -1.8 + -0.6x = -2(-0.3 + 0.5x) -1.8 + -0.6x = (-0.3 * -2 + 0.5x * -2) -1.8 + -0.6x = (0.6 + -1x) Solving -1.8 + -0.6x = 0.6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1.8 + -0.6x + x = 0.6 + -1x + x Combine like terms: -0.6x + x = 0.4x -1.8 + 0.4x = 0.6 + -1x + x Combine like terms: -1x + x = 0 -1.8 + 0.4x = 0.6 + 0 -1.8 + 0.4x = 0.6 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.4x = 0.6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.4x = 0.6 + 1.8 0.4x = 0.6 + 1.8 Combine like terms: 0.6 + 1.8 = 2.4 0.4x = 2.4 Divide each side by '0.4'. x = 6 Simplifying x = 6
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